In this paper, we define new functionals generalizing scientometric indices proposed by Mesiar and Gągolewski in 2016 to overcome some limitations of h-index. These are integrals with respect a monotone measure as well aggregation functions under mild conditions. We derive numerous properties the analyze subadditivity property detail. also give partial solution problem posed Stupňanová find an ...

In this paper we continue studying the smallest universal integral IS having S as the underlying semicopula. We present convergence theorems for IS-integral sequences including monotone, almost everywhere, almost uniform, in measure and in mean converging sequences of measurable functions, respectively. It emerges that these convergences characterize the underlying measure properties such as nu...

We construct a continuous nowhere monotone function that depends on infinitely many parameters such the derivative of this is equal to zero almost everywhere (in sense Lebesgue measure). It shown well-defined and monotone. Its differential properties are analyzed, massiveness level sets studied, set maxima minima its structural variational determined.

We investigate the initial value problem for a class of fractional evolution equations in a Banach space. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, the well-known monotone iterative technique is then extended for fractional evolution equations which provides computable monotone sequences that converge to the extremal solutions in a sector generate...

We study invariant measures of families of monotone twist maps Sγ(q, p) = (2q−p+γ ·V ′(q), q) with periodic Morse potential V . We prove that there exist a constant C = C(V ) such that the topological entropy satisfies htop(Sγ) ≥ log(C · γ)/3. In particular, htop(Sγ) → ∞ for |γ| → ∞. We show also that there exist arbitrary large γ such that Sγ has nonuniformly hyperbolic invariant measures μγ w...

Equilibrium problems have many uses in optimization theory and convex analysis and which is why different methods are presented for solving equilibrium problems in different spaces, such as Hilbert spaces and Banach spaces. The purpose of this paper is to provide a method for obtaining a solution to the equilibrium problem in Banach spaces. In fact, we consider a hybrid proximal point algorithm...

Problem statement: When analyzing random variables it is useful to measure the degree of their monotone dependence or compare pairs of random variables with respect to their monotonicity. Existing coefficients measure general or linear dependence of random variables. Developing a measure of monotonicity is useful for practical applications as well as for general theory, since monotonicity is an...

Keywords: Fuzzy measure Sugeno integral Choquet integral Stolarsky's inequality a b s t r a c t Recently Flores-Franulič, Román-Flores and Chalco-Cano proved the Stolarsky type inequality for Sugeno integral with respect to the Lebesgue measure k. The present paper is devoted to generalize this result by relaxing some of its requirements. Moreover, Stolar-sky inequality for Choquet integral is ...